PROPAGATING INTERFACE IN A MONOSTABLE REACTION-DIFFUSION EQUATION WITH TIME DELAY

被引：0

作者：

Alfaro, Matthieu ^{[1
,2
]}

Ducrot, Arnaud ^{[3
]}

机构：

[1] Univ Montpellier 2, I3M, F-34095 Montpellier 5, France

[2] Univ Montpellier 2, I3M, F-34095 Montpellier 5, France

[3] Univ Bordeaux, IMB UMR CNRS 5251, F-33000 Bordeaux, France

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2014年 / 27卷 / 1-2期

关键词：

TRAVELING-WAVES; ASYMPTOTIC-BEHAVIOR; MONOTONE SEMIFLOWS; LIMIT; SPREAD; SPEEDS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a monostable time-delayed reaction-diffusion equation arising from population dynamics models. We let a small parameter tend to zero and investigate the behavior of the solutions. We construct accurate lower barriers-by using a nonstandard bistable approximation of the monostable problem-and upper barriers. As a consequence, we prove the convergence to a propagating interface.

引用

页码：81 / 104

页数：24

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